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Simplifying 7x2 + 43x = -168 Reorder the terms: 43x + 7x2 = -168 Solving 43x + 7x2 = -168 Solving for variable 'x'. Reorder the terms: 168 + 43x + 7x2 = -168 + 168 Combine like terms: -168 + 168 = 0 168 + 43x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 24 + 6.142857143x + x2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + 6.142857143x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + 6.142857143x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 6.142857143x + x2 = 0 + -24 6.142857143x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 6.142857143x + x2 = -24 The x term is 6.142857143x. Take half its coefficient (3.071428572). Square it (9.433673473) and add it to both sides. Add '9.433673473' to each side of the equation. 6.142857143x + 9.433673473 + x2 = -24 + 9.433673473 Reorder the terms: 9.433673473 + 6.142857143x + x2 = -24 + 9.433673473 Combine like terms: -24 + 9.433673473 = -14.566326527 9.433673473 + 6.142857143x + x2 = -14.566326527 Factor a perfect square on the left side: (x + 3.071428572)(x + 3.071428572) = -14.566326527 Can't calculate square root of the right side. The solution to this equation could not be determined.
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